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lions [1.4K]
2 years ago
14

the rectangle poster shown at the right measures 2w-30 by w. the poster has an area of 5400 cm^2. what is the value of a?

Mathematics
2 answers:
Lemur [1.5K]2 years ago
6 0
This is the concept of algebra, to get the values of the unknown we proceed as follows:
Length=(2w-30) cm
width=w
Area=length×width
=w(2w-30)=5400
=2w^2-30w=5400
hence
2w^2-30w-5400=0
solving the quadratic we get:
w^2-15w-2700=0
thus
(w+45)(w-60)=0
hence
w=-45 or w=60
since there is no negative dimension we shall take w=60
thus the value of w=60


serg [7]2 years ago
5 0

Answer:

w=60

Step-by-step explanation:

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